JP4060425B2 - Machining data generation method and recording medium for NC machine tools - Google Patents

Description

[0001]
BACKGROUND OF THE INVENTION
The present invention relates to a method for generating processing data used for a processing machine such as an NC machine tool when processing a molded product such as a press die or a resin molding die.
[0002]
[Prior art]
It is widely practiced to design / manufacture a three-dimensional shaped molded article using CAD / CAM (computer-aided design / manufacturing automation system). In such a system, a three-dimensional surface of a molded product is regarded as a set of points. If a three-dimensional coordinate is given to each point on the three-dimensional surface, the three-dimensional surface of the molded product can be defined in an arbitrary coordinate system (for example, an xyz coordinate system). Such a set of three-dimensional coordinate points is used as shape data. If a three-dimensional coordinate system is set for a material piece, a three-dimensional surface defined by the shape data can be projected onto the material piece.
[0003]
For example, an NC (numerical control) machine tool can be used for processing the molded product. In an NC machine tool, a material piece is cut into a molded product by bringing the tip of a tool (for example, a ball end mill, a flat end mill, or a bull nose mill) rotating around an axis into contact with the material piece. When machining a three-dimensional surface with such an NC machine tool, the tool tip moves so as to sequentially connect three-dimensional coordinate points that are continuous on the three-dimensional surface projected onto the material piece.
[0004]
[Problems to be solved by the invention]
Conventionally, when generating NC data, three-dimensional coordinate points are extracted so that xy coordinate values are equally spaced (see, for example, FIG. 6 of JP-A-7-136900). However, when the molded product is processed based on the three-dimensional coordinate points thus extracted, it has been found that the processing accuracy (particularly the surface roughness) of the processed three-dimensional surface is uneven. For example, while machining is performed with high accuracy on an inclined surface with a small inclination angle, machining accuracy is rough on an inclined surface with a large inclination angle continuous to the inclined surface. Even if the xy coordinate values are set at equal intervals, it is considered that the actual distance between the three-dimensional coordinate points is not kept uniform according to the variation of the z coordinate value, which leads to unevenness in machining accuracy.
[0005]
The present invention has been made in view of the above circumstances, and provides a machining data generation method for an NC machine tool that can eliminate unevenness in machining accuracy in a molded product after machining and can form a highly accurate machining surface. Objective.
[0006]
[Means for Solving the Problems]
In order to achieve the above object, according to the present invention, three-dimensional point data arranged at equal intervals based on a three-dimensional shape defined by the shape data is generated based on the shape data. A machining data generation method for NC machine tools is provided.
[0007]
In the NC machine tool, the tool moves relative to the material piece by using the machining data (NC data). The tool moves so as to connect a plurality of three-dimensional point data generated based on the three-dimensional shape. According to the machining data generation method according to the present invention, since the three-dimensional point data is arranged at equal intervals based on the three-dimensional shape, the tool movement pitch is uniform on any surface, unlike conventional ones. Can be In particular, when the three-dimensional shape includes a plurality of surfaces having different inclinations, it is avoided that the movement pitch differs for each surface, and as a result, unevenness in machining accuracy represented by surface roughness is eliminated.
[0008]
A series of processing orders can be given to the three-dimensional point data. As a result, the tool movement path can be defined.
[0009]
The machining data generation method for an NC machine tool according to the present invention includes a step of setting a contour of a machining range including two opposing machining edge contour lines in an arbitrary plane, and providing one of the machining orders. And a step of setting a plurality of rows of processing trajectories from the end contour line to the other processing end contour line. If at least the interval between the processing trajectories is defined by the interval of the three-dimensional point data, the intervals between the processing trajectories are equal. Therefore, even if the three-dimensional shape includes a plurality of surfaces having different inclinations along the direction crossing the machining track, it is avoided that the movement pitch differs for each surface. Unevenness in machining accuracy represented by surface roughness is eliminated.
[0010]
In generating the three-dimensional point data, a step of setting a plurality of rows of two-dimensional surface movement paths from the one processing edge contour line to the other processing edge contour line, and a length of each two-dimensional surface movement path Measuring the length, extracting the longest two-dimensional surface movement path, equally dividing the longest two-dimensional surface movement path at multiple division points, and the same number of division points as the longest two-dimensional surface movement path The step of equally dividing the other two-dimensional surface movement paths and the step of drawing the dividing lines by connecting the corresponding dividing points over all the two-dimensional surface movement paths may be used. The drawn dividing line is projected onto the three-dimensional shape, and the three-dimensional point data is extracted at equal intervals along the projected dividing line. If a processing order is given to the extracted three-dimensional point data in a direction crossing the dividing line, the processing trajectory can be obtained. In particular, by determining the number of division points based on the longest two-dimensional surface movement path, it is possible to ensure a certain machining accuracy. This is because in the two-dimensional surface movement path other than the longest two-dimensional surface movement path, an adjacent division point having an interval larger than the set equal division interval does not occur.
[0011]
In setting the two-dimensional surface movement path, a step of specifying two contour lines connecting the two machining end contour lines, a step of equally dividing each contour line by a plurality of division points, and two contours A step of connecting the dividing points corresponding to each other by a line and a step of equally dividing each straight line may be used. The two-dimensional plane movement path can be set based on equally divided straight lines. By these steps, a two-dimensional surface movement path that is arranged in parallel at equal intervals within the machining range is obtained.
[0012]
In equally dividing the contour line, a step of adding extension lines to both ends of the contour line may be further provided. By adding such an extension line, the two-dimensional surface movement path can be generated over the entire processing range regardless of the shape of the processing end contour line.
[0013]
In particular, it is preferable that the three-dimensional point data is generated based on interference between a tool of an NC machine tool used and the three-dimensional shape. This is because, even if the type and shape of the tool are different, it is possible to cut a highly accurate molded product faithful to the three-dimensional shape. For example, the three-dimensional point data may be defined by the three-dimensional coordinate value of the tool tip when the tool contacts the three-dimensional shape.
[0014]
The machining data generation method according to the present invention may be executed by a personal computer, a workstation, or another computer. In such a case, the software for executing the processing data generation method according to the present invention may be installed in the computer by a portable recording medium or network. As a portable recording medium, for example, a magnetic recording medium represented by a floppy disk (FD), an optical recording medium represented by a compact disk (CD), or a magneto-optical recording medium may be used.
[0015]
DETAILED DESCRIPTION OF THE INVENTION
Hereinafter, an embodiment of the present invention will be described with reference to the accompanying drawings.
[0016]
FIG. 1 shows the configuration of a machining data generation apparatus for NC machine tools according to the present invention. The machining data generation apparatus 10 includes a computer main body 11 represented by, for example, a personal computer or a workstation. The computer main body 11 is connected to a data reading / writing device 13 for reading information from portable recording media 12a and 12b and writing information to such recording media 12a and 12b. As the recording media 12a and 12b, for example, a magnetic recording medium represented by a floppy disk (FD), an optical recording medium represented by a compact disk (CD), or a magneto-optical recording medium may be used.
[0017]
A central processing unit (CPU) 14 is mounted on the computer main body 11. The CPU 14 executes NC data creation software read by the data reading / writing device 13 from the recording medium 12a. In executing the software, the NC data creation software may be temporarily stored in the internal storage device 15, and then the CPU 14 may execute the software. For example, a hard disk or a RAM may be used as the internal storage device 15. The data reading / writing device 13 can take shape data from the portable recording medium 12b when the CPU 14 executes the NC data creation software. Such shape data and NC data creation software may be stored in the internal storage device 15 in advance or may be acquired through a network.
[0018]
A display device 16 is connected to the computer main body 11. The display device 16 can visually display the software execution process. An instruction for prompting the operator to input information may be displayed on the screen of the display device 16 as necessary. In addition to responding to instructions displayed on the screen, the operator can arbitrarily input information and commands to the CPU 14 using the input device 17 such as a keyboard and a mouse. The input device 17 may be integrated with the display device 16 like a liquid crystal tablet, for example.
[0019]
Consider a case where NC data (machining data) for the NC machine tool 20 shown in FIG. 2 is generated using the machining data generation apparatus 10 according to the present invention. As shown in FIG. 2, in the NC machine tool 20, a three-dimensional coordinate system of xyz axis coordinates is set for the material piece 22 arranged on the table 21. The table 21 is supported so as to be movable in the x-axis direction 23 along a horizontal plane on a pedestal (not shown) fixed to the floor surface, for example. A tool 24 faces the table 21. The tool 24 can rotate around the z-axis orthogonal to the horizontal plane. The tool 24 can move in the y-axis direction 25 while maintaining a vertical posture along the z-axis through the movement of a support arm (not shown) that rotatably supports the tool 24 and in the z-axis direction. 26 can be moved up and down. The tool 24 may be a flat end mill or a bull nose mill in addition to the illustrated ball end mill.
[0020]
The rotation operation and movement of the tool 24 and the movement of the table 21 are controlled by the NC control circuit 28. The NC control circuit 28 supplies control commands to the tool rotation mechanism 29, the tool movement mechanism 30 and the table movement mechanism 31 based on the input NC data. When the tool rotation mechanism 29 receives the control command, the tool rotation mechanism 29 rotates the tool 24 according to the rotation speed defined by the NC data. When the tool moving mechanism 30 receives the control command, for example, the tool moving mechanism 30 moves the tool 24 in the z-axis direction 26 according to the z-axis direction moving speed specified by the NC data, and y according to the y-axis direction moving speed specified by the NC data. The tool 24 is moved in the axial direction 25. When receiving the control command, the table moving mechanism 31 moves the table 21 in the x-axis direction 23 according to the x-axis direction moving speed defined by the NC data. The tool rotation mechanism 29, the tool movement mechanism 30, and the table movement mechanism 31 may be configured by, for example, a drive motor or a pulse motor and a drive mechanism connected to these.
[0021]
Next, a method for creating NC data using NC data creation software will be described. When the NC data creation software is executed, first, shape data of a three-dimensional shaped workpiece to be machined is captured. The shape data may be created using CAD / CAM. According to such shape data, the three-dimensional surface of the workpiece is defined as a set of three-dimensional coordinate points in an arbitrary three-dimensional coordinate system (for example, an xyz coordinate system). As shown in FIG. 3, the CPU 14 displays the three-dimensional surface 40 of the processed product on the screen of the display device 16 based on the captured shape data. As apparent from FIG. 3, the three-dimensional surface 40 has different inclinations for each part.
[0022]
When the three-dimensional surface 40 is displayed on the screen, the CPU 14 requests the operator to input information such as the type of the tool 24 and the material of the material piece 22 through the operation of the input device 17. The CPU 14 determines the rotation speed of the tool 24 based on the input information. Further, the CPU 14 determines the coordinate point pitch according to the type of the tool 24. This coordinate point pitch defines the distance between the three-dimensional point data described later. Since the tool 24 linearly moves between adjacent three-dimensional point data, the processing accuracy of the three-dimensional surface, that is, the surface roughness is determined according to the size of the coordinate point pitch. For example, when the tool 24 forms a curved surface, the formed curved surface becomes smoother as the coordinate point pitch is smaller. The rotational speed and coordinate point pitch of the tool 24 may be input to the CPU 14 by operating the input device 17.
[0023]
Subsequently, the CPU 14 requests the operator to set a processing range for the projected three-dimensional surface 40. In response to this request, the operator first sets the xy plane of the NC machine tool 20 with respect to the projected three-dimensional surface 40. At this time, it is preferable that the xy plane is selected so that the inclination of the three-dimensional plane with respect to the xy plane is within a certain range. For example, when there is a wall surface that rises at 90 degrees, the xy plane is selected so that the wall surface is inclined at 45 degrees.
[0024]
Here, the xy plane is set as the screen plane. Therefore, if the position of the observer's viewpoint is changed by rotating or tilting the three-dimensional surface 40 on the screen, the xy plane changes with respect to the three-dimensional surface 40. For example, when the line of sight is set in the direction of the arrow 41 shown in FIG. 3, the three-dimensional surface 40 shown in FIG. 4 is displayed on the screen. Since such operations for changing the position of the viewpoint and software processing are obvious to those skilled in the art, detailed description thereof is omitted here.
[0025]
The operator draws the contour 42 of the processing range on the displayed three-dimensional surface 40 within the two-dimensional surface of the screen. The contour 42 includes two opposite machining end contour lines 44 and 45 in the two-dimensional plane of the screen. As illustrated, the contour 42 is not limited to a square or a rectangle, but may be another polygonal shape or may include a curve or the like in part. The processing range may be set to a range that can be easily processed by a series of processing. For example, when processing is performed on a three-dimensional surface having a sharp shape change, a processing range can be set for each range in which the shape change is made uniform. For example, a technique of tracing the outline with a mouse pointer on the screen may be employed for setting the processing range. The traced outline is stored as an xy coordinate value on the xy plane. The contour may be regarded as a set of points on the xy plane.
[0026]
When the setting of the machining range is completed in the two-dimensional plane in this way, the calculation process of the CPU 14 is executed, and the tool movement path as shown in FIG. 5 is determined. This movement path includes a plurality of rows of machining trajectories 46 starting from one machining end contour 44 and reaching the other machining end contour 45. The machining tracks 45 are parallel to each other at an arbitrary interval. According to such a machining track 46, the three-dimensional surface 40 is cut by the tool 24 moving between the machining end contour lines 44 and 45. When the tool 24 that has continuously processed along one processing track 46 reaches the processing end contours 44 and 45, the tool 24 moves to the adjacent processing track 46 and performs processing from the processing end contours 44 and 45 again. It will follow. The determined movement path is displayed superimposed on the three-dimensional surface 40 on the screen. Therefore, the operator can visually recognize the determined movement route.
[0027]
When the movement path is determined, the CPU 14 creates NC data to be supplied to the NC control circuit 28 of the NC machine tool 20. This NC data defines the relative positional relationship between the material piece 22 placed on the table 21 and the tool 24. In this embodiment, the z-axis direction movement speed and the y-axis direction movement speed of the tool 24 and the x-axis direction movement speed of the table 21 are NC data so that the tool 24 moves on the material piece 22 according to the determined movement path. It will be prescribed by.
[0028]
Here, the arithmetic processing of the CPU 14 will be described in detail. When the machining range is set in the xy plane (see FIG. 4), the CPU 14 sets a plurality of rows of two-dimensional plane movement paths 49 parallel to each other as the machining range, as shown in FIG. Each two-dimensional surface movement path 49 extends from one machining end contour 44 to the other machining end contour 45. The processing end contour lines 44 and 45 may be specified through the input device 17 when setting the processing range. For example, when the contour line is traced with the mouse pointer, the CPU 14 may be notified by clicking the start point and the end point of the processing end contour lines 44 and 45. The two-dimensional surface movement paths 49 are arranged at equal intervals within the processing range, and a method for arranging the two-dimensional surface movement paths 49 will be described later. The xy coordinate values that define all the two-dimensional surface movement paths 49 are temporarily stored. The two-dimensional surface movement path 49 may be regarded as a set of points in the xy plane to which the order is given.
[0029]
Subsequently, as shown in FIG. 7, the two-dimensional surface movement path 49 is subjected to equal division processing. In this equal division process, first, the length of each two-dimensional surface movement path 49 is measured, and the longest two-dimensional surface movement path 49a is extracted. The longest two-dimensional surface movement path 49 a is equally divided at a plurality of dividing points 50. The number of division points 50 is set based on the coordinate point pitch. The number of dividing points 50 may be set so that a sufficiently smooth three-dimensional surface is formed. However, the number of division points 50 may be input to the CPU 14 from the input device 17 based on the experience of the operator.
[0030]
When the number of division points 50 is set, all other two-dimensional surface movement paths 49 are equally divided according to the number. The dividing points 50 corresponding to each other in the adjacent two-dimensional plane moving path 49 are connected to each other by a straight line, and a dividing line 52 is drawn. Since the number of division points 50, that is, the equal division interval is set based on the longest two-dimensional surface movement path 49a as described above, a certain machining accuracy is always ensured. This is because in the two-dimensional surface movement paths 49 other than the longest two-dimensional surface movement path 49a, the adjacent division points 50 having an interval longer than the set equal division interval do not occur. The xy coordinate values that define the dividing line 52 are temporarily stored.
[0031]
Using the obtained dividing line 52, a projection process is performed as shown in FIG. In this projection process, first, the dividing line 52 is projected in the z-axis direction, and a corresponding one-row three-dimensional coordinate point on the three-dimensional surface 40 is extracted for each dividing line 52. Subsequently, the interference between the extracted three-dimensional coordinate point and the shape of the tool 24 is determined. At this time, the position of the tool 24 in contact with the three-dimensional coordinate point is determined, and one row of three-dimensional point data is generated for each dividing line 52 based on the three-dimensional coordinate value of the tip of the tool 24 at this position. The calculated xyz coordinate value of the three-dimensional point data may be temporarily stored.
[0032]
Subsequently, the calculated three-dimensional point data is subjected to extraction processing as shown in FIG. In this extraction process, first, three-dimensional point data arranged in a line for each dividing line 52 is extracted. Three-dimensional point data is extracted at equal intervals in the xyz coordinate system from the extracted three-dimensional point data in one row. In this way, three-dimensional point data arranged at equal intervals with respect to the three-dimensional surface 40 defined by the shape data is generated. A series of processing orders are given to the generated three-dimensional point data along the direction crossing the dividing line 52. When the three-dimensional point data is connected according to this processing order, a processing trajectory 46 is generated. According to this embodiment, since the three-dimensional point data is arranged on the basis of the actual three-dimensional surface shape on the surfaces having different inclinations along the direction crossing the machining track 46, the coordinate point pitch distance is uniform, Unevenness of processing accuracy, that is, surface roughness is eliminated.
[0033]
Next, as shown in FIG. 10, the arrangement method of the two-dimensional surface movement path 49 will be described in detail using the simplified contour 42 of the machining range. First, paying attention to the contour 42 of the processing range, the contour lines 55 and 56 connecting the two processing end contour lines 44 and 45 are specified. An extension line 57 having a predetermined length is added to both ends of the two specified contour lines 55 and 56. The extension line 57 is defined as a tangent line of a circle in contact with the contour lines 55 and 56 at each end of the contour lines 55 and 56. By adding the extension line 57, when the ends 57a of the extension lines 57 facing each other are connected by the straight line 58, the entire processing range may be within the straight line 58. The length of the straight line is set so as to fall within the processing range, may be set in advance in software, or may be taken into the software through the input device 17.
[0034]
The two contour lines 55 and 56 including the extension line 57 are subjected to equal division processing as shown in FIG. In this equal division process, the two contour lines 55 and 56 including the extension line 57 are equally divided at the same number of division points 60. The dividing points 60 corresponding to the two contour lines 55 and 56 are connected to each other by a straight line 61. The number of division points 60 may be set based on the longer contour 56 while taking the coordinate point pitch into consideration. If it does so, the equal division | segmentation space | interval will not become extremely long with respect to a coordinate point pitch in the shorter outline 55. FIG.
[0035]
Subsequently, as shown in FIG. 12, each straight line 61 is subjected to equal division processing. In this equal division process, all straight lines 61 are equally divided at the same number of division points 62. The dividing points 62 corresponding to each other in the adjacent straight line 61 are connected to each other by a straight line 63. A two-dimensional surface movement path 49 (see FIG. 6) is obtained by dividing the joined straight line 63 by the outline 42.
[0036]
【The invention's effect】
As described above, according to the present invention, since the three-dimensional point data is arranged at equal intervals based on the three-dimensional shape defined by the shape data, a uniform pitch is guaranteed even if the inclination of the three-dimensional shape is different. It becomes possible. As a result, if machining data for NC machine tools is generated using such three-dimensional point data, a smooth three-dimensional shape (surface) without unevenness in machining accuracy can be formed.
[Brief description of the drawings]
FIG. 1 is a schematic diagram showing the configuration of a machining data generation device for NC machine tools according to the present invention.
FIG. 2 is a schematic diagram showing a configuration of an NC machine tool.
FIG. 3 is a diagram illustrating a specific example of a three-dimensional surface projected on a screen.
FIG. 4 is a plan view showing an outline of a processing range set on a screen.
FIG. 5 is a diagram corresponding to FIG. 3 and showing a set tool movement path;
FIG. 6 is a diagram corresponding to FIG. 4 and showing a set two-dimensional surface movement path.
FIG. 7 is a diagram illustrating a two-dimensional surface movement path that has been subjected to equal division processing.
FIG. 8 is a diagram illustrating a dividing line on which a projection process has been performed.
FIG. 9 is a diagram showing a machining trajectory determined by performing an extraction process.
FIG. 10 is a schematic view of a contour of a processing range to which an extension line is given.
FIG. 11 is a schematic diagram of a contour of a machining range obtained by performing equal division processing on a contour line.
FIG. 12 is a schematic view of a contour of a processing range obtained by performing equal division processing on the obtained straight line.
[Explanation of symbols]
10 machining data generator for NC machine tools, 12a storage medium storing NC data creation software, 20 NC machine tools, 24 tools, 40 3D surface as 3D shape, 42 machining range contour, 44, 45 machining End contour line, 46 machining path defined by 3D point data, 49 2D surface movement path, 49a longest 2D surface movement path, 50 division points.

Claims (11)

Based on the three-dimensional shape defined by the shape data, the inclination of the surface of the three-dimensional shape with respect to the xy plane of the NC machine tool is set in a three-dimensional space in the computer so that it falls within a certain range. A process of setting a contour of a machining range including two opposing machining edge contours in an xy plane of the NC machine tool , and two-dimensional two-dimensional rows extending from one machining edge contour to the other machining edge contour The process of measuring the length of the surface movement path and extracting the longest two-dimensional surface movement path, the longest two-dimensional surface movement path at the number of division points set based on the interval to ensure a predetermined machining accuracy , etc. A step of dividing, a step of equally dividing another two-dimensional plane movement path with the same number of division points as the number of division points on the longest two-dimensional plane movement path, and a corresponding division point over all two-dimensional plane movement paths The process of connecting each other and drawing the dividing line, and the drawn division A machining data generation method for an NC machine tool, comprising: projecting a line onto the three-dimensional shape in an xyz coordinate system, and generating three-dimensional point data at equal intervals on the projected dividing line.   2. The machining data generation method for an NC machine tool according to claim 1, wherein a series of machining orders are given to the three-dimensional point data.   3. The machining data generation method for an NC machine tool according to claim 2, further comprising a step of setting a plurality of rows of machining trajectories from one machining edge contour to the other machining edge contour by providing the machining order. Machining data generation method for NC machine tools characterized by   In the machining data generation method for NC machine tools according to claim 3, a step of specifying two contour lines connecting the two machining end contour lines, and a step of equally dividing each contour line by a plurality of division points; A step of connecting the dividing points corresponding to each other by two contour lines with a straight line, a step of equally dividing each straight line, and a step of setting the two-dimensional plane movement path based on the straight line divided equally. Machining data generation method for NC machine tools as a feature. In NC machine tool for machining data generating method according to claim 3 or 4, wherein the three-dimensional shape, NC machine tool for, characterized in that it comprises two different sides of the inclined along a direction transverse to at least said processing track Processing data generation method. In NC machine tool for machining data generating method according to any one of claims 1 to 5, wherein the three-dimensional point data is generated based on the interference between the tool of the NC machine tool to be used with the three-dimensional shape A machining data generation method for NC machine tools characterized by the above. The machining data generation method for an NC machine tool according to claim 6 , wherein the three-dimensional point data is defined by a three-dimensional coordinate value of a tool tip when the tool contacts the three-dimensional shape. Machining data generation method for NC machine tools.   The machining data generation method for an NC machine tool according to claim 1 or 2, wherein the three-dimensional shape includes at least two surfaces having different inclinations. Based on the three-dimensional shape defined by the shape data, the inclination of the surface of the three-dimensional shape with respect to the xy plane of the NC machine tool is set in a three-dimensional space in the computer so that it falls within a certain range. When a machining range contour including two opposing machining edge contours is set in the xy plane of the NC machine tool , a plurality of rows of two-dimensional lines extending from one machining edge contour to the other machining edge contour The process of measuring the length of the surface movement path and extracting the longest two-dimensional surface movement path, the longest two-dimensional surface movement path at the number of division points set based on the interval to ensure a predetermined machining accuracy , etc. A step of dividing, a step of equally dividing another two-dimensional plane movement path with the same number of division points as the number of division points on the longest two-dimensional plane movement path, and a corresponding division point over all two-dimensional plane movement paths The process of connecting each other and drawing a dividing line, and the dividing line drawn A computer-readable recording medium on which a program for causing a computer to execute a step of projecting the image onto the three-dimensional shape in the xyz coordinate system and generating three-dimensional point data at equal intervals on the projected dividing line. The computer-readable recording medium according to claim 9 , wherein a program for causing a computer to further execute a step of giving a series of processing orders to the three-dimensional point data is recorded. The program for causing a computer to further execute a step of setting a plurality of rows of machining trajectories from one machining edge outline to the other machining edge outline by providing the machining order according to claim 10. A computer-readable recording medium on which is recorded.

Images